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Finding the Fourth Proportional to 31,556.64, 47,349 and 16,761.96

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Solution

The fourth proportional to 31,556.64, 47,349 and 16,761.96 is: 25,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,556.64 : 47,349 = 16,761.96 : x
  2. Step 2: Convert to fraction form
    31,556.64/47,349 = 16,761.96/x
  3. Step 3: Cross multiply
    31,556.64x = 47,349 × 16,761.96
  4. Step 4: Simplify right side
    31,556.64x = 793,662,044.04
  5. Step 5: Solve for x
    x = 793,662,044.04/31,556.64
  6. Step 6: Final answer
    x = 25,150.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.